17/22 as a Decimal

Answer:

17/22 in decimal form can be written as approximately 0.7727. It is a non-terminating, repeating decimal.

Explanation:

To convert 17/22 to decimal, we will use the division method. Since 17 is smaller than 22, the result will be a decimal less than 1. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (22) will be the divisor.

Step 2: Perform the division of 17 by 22, which will yield a decimal result.

Step 3: Since 17 is smaller than 22, place a decimal point in the quotient and add zeros to the dividend.

Step 4: Divide 170 by 22, which gives approximately 7 as the quotient. Subtract 154 (22×7) from 170 to get 16.

Step 5: Bring down another 0, making it 160, then divide by 22 to get approximately 7 again. Subtract 154 from 160 to get 6.

Step 6: Repeat this process, and you will observe that the quotient repeats after a certain point.

The decimal representation of 17/22 is approximately 0.7727, with the digits "72" repeating.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Repeating Decimal: A decimal in which one or more digits repeat infinitely.